@article{18586,
  abstract     = {We prove the Central Limit Theorem and superpolynomial mixing for environment
viewed from the particle process in quasi periodic Diophantine random environment. The main
ingredients are smoothness estimates for the solution of the Poisson equation and local limit asymptotics for certain accelerated walks.},
  author       = {Czudek, Klaudiusz S and Dolgopyat, Dmitry},
  issn         = {1980-0436},
  journal      = {Alea},
  number       = {2},
  pages        = {1853--1865},
  publisher    = {Instituto Nacional de Matematica Pura e Aplicada},
  title        = {{The central limit theorem and rate of mixing for simple random walks on the circle}},
  doi          = {10.30757/ALEA.V21-70},
  volume       = {21},
  year         = {2024},
}

@article{70,
  abstract     = {We consider the totally asymmetric simple exclusion process in a critical scaling parametrized by a≥0, which creates a shock in the particle density of order aT−1/3, T the observation time. When starting from step initial data, we provide bounds on the limiting law which in particular imply that in the double limit lima→∞limT→∞ one recovers the product limit law and the degeneration of the correlation length observed at shocks of order 1. This result is shown to apply to a general last-passage percolation model. We also obtain bounds on the two-point functions of several airy processes.},
  author       = {Nejjar, Peter},
  issn         = {1980-0436},
  journal      = {Latin American Journal of Probability and Mathematical Statistics},
  number       = {2},
  pages        = {1311--1334},
  publisher    = {Instituto Nacional de Matematica Pura e Aplicada},
  title        = {{Transition to shocks in TASEP and decoupling of last passage times}},
  doi          = {10.30757/ALEA.v15-49},
  volume       = {15},
  year         = {2018},
}